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Finding the Fourth Proportional to 285,311.50, 393,725.03 and 157,984.36

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Solution

The fourth proportional to 285,311.50, 393,725.03 and 157,984.36 is: 218,015.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,311.50 : 393,725.03 = 157,984.36 : x
  2. Step 2: Convert to fraction form
    285,311.50/393,725.03 = 157,984.36/x
  3. Step 3: Cross multiply
    285,311.50x = 393,725.03 × 157,984.36
  4. Step 4: Simplify right side
    285,311.50x = 62,202,396,880.53
  5. Step 5: Solve for x
    x = 62,202,396,880.53/285,311.50
  6. Step 6: Final answer
    x = 218,015.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.